Advertisements
Advertisements
Question
Which of the following statements are true (T) and which are false (F):
The bisectors of two equal angles of a triangle are equal
Advertisements
Solution
True (T)
Reason: Since it an isosceles triangle, the lengths of bisectors of the two equal angles are equal
APPEARS IN
RELATED QUESTIONS
In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:
- OB = OC
- AO bisects ∠A
Show that the angles of an equilateral triangle are 60° each.
Find the measure of each exterior angle of an equilateral triangle.
In figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD
Determine the measure of each of the equal angles of a right-angled isosceles triangle.
Prove that the medians of an equilateral triangle are equal.
Find the measure of each exterior angle of an equilateral triangle.
ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. Prove that the triangle is isosceles.
Fill the blank in the following so that the following statement is true.
In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC ≅ Δ ……
O is any point in the interior of ΔABC. Prove that
(i) AB + AC > OB + OC
(ii) AB + BC + CA > OA + QB + OC
(iii) OA + OB + OC >` 1/2`(AB + BC + CA)
Which of the following statements are true (T) and which are false (F)?
Sum of the three sides of a triangle is less than the sum of its three altitudes.
Which of the following statements are true (T) and which are false (F)?
Sum of any two sides of a triangle is greater than the third side.
Which of the following statements are true (T) and which are false (F)?
Difference of any two sides of a triangle is equal to the third side.
If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.
In a ΔABC, if ∠A = 60°, ∠B = 80° and the bisectors of ∠B and ∠C meet at O, then ∠BOC =
The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94° and 126°. Then, ∠BAC =
If the bisectors of the acute angles of a right triangle meet at O, then the angle at Obetween the two bisectors is
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.
Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2(BD + AC)
